2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94500In this paper we introduce a system of nonlinear ordinary differential equations which in a particular case reduces to Volterra's system. We found in two simplest cases the complete sets of the integrals of motion using Nambu--Poisson reformulation of the Hamiltonian dynamics. In these cases we have solved the systems by quadratures.6 pages, latex, no figuresExactly Solvable and Integrable SystemsNambu--Poisson reformulation of the finite dimensional dynamical systemstext